Search a number
-
+
45206043440 = 2451374124639
BaseRepresentation
bin101010000110011111…
…010111101100110000
311022200111010221112012
4222012133113230300
51220040221342230
632433430222052
73160151013005
oct520637275460
9138614127465
1045206043440
11181986a6588
1289174b4928
13435580313c
14228bb858ac
151298a8d395
hexa867d7b30

45206043440 has 40 divisors (see below), whose sum is σ = 105871259520. Its totient is φ = 17950424576.

The previous prime is 45206043403. The next prime is 45206043461. The reversal of 45206043440 is 4434060254.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45206043397 and 45206043406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051360 + ... + 2073279.

It is an arithmetic number, because the mean of its divisors is an integer number (2646781488).

Almost surely, 245206043440 is an apocalyptic number.

45206043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45206043440 is an abundant number, since it is smaller than the sum of its proper divisors (60665216080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45206043440 is a wasteful number, since it uses less digits than its factorization.

45206043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124789 (or 4124783 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 45206043440 in words is "forty-five billion, two hundred six million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 4124639 8249278 16498556 20623195 32997112 41246390 65994224 82492780 164985560 329971120 565075543 1130151086 2260302172 2825377715 4520604344 5650755430 9041208688 11301510860 22603021720 45206043440